This graph of a function is a translation of y=4/x. What is an equation for the function?

[tex]y = \frac{4}{x + 6} + 2 \\ [/tex]
found by:
as value of x approaches -6 from left, value of y appoaches negative infinity
as value of x approaches -6 from the right, value of y approaches infinity
(undefined solution)
therefore, the value of x = 0 is translated to x = - 6
if x = -6,
(x + 6) = 0
(x + 6) is the value of x in the equation
[tex]y = \frac{4}{x + 6} + c[/tex]
as x increases, the value of 4/x approaches 0
in the graph, it approaches 2 instead
meaning 2 units is added to the value of y,
therefore c = 2.